How can I quickly move/translate an object to the center location/position of another object in a static scene?
Assuming that you have two distinct objects (rather than two unlinked meshes in the same object) and each object's origin is at the "true" center of the object (however you prefer to determine that), you would use the following process (in Object mode):


Select object B
Snap the 3D Cursor to object B's origin (Shift+S > Cursor to Selected)
Select object A
Snap object A to the 3D Cursor's location (Shift+S > Selection to Cursor)


You can also use Blender's snapping tools to do some of this interactively, but the 3D Cursor is the most reliable way.